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A Schwarzian on the Stretched Horizon

S. Carlip

8 pages

Abstract: It is well known that the Euclidean black hole action has a boundary term at the horizon proportional to the area. I show that if the horizon is replaced by a stretched horizon with appropriate boundary conditions, a new boundary term appears, described by a Schwarzian action similar to the recently discovered boundary actions in "nearly anti-de Sitter" gravity.

Submitted to arXiv on 24 Mar. 2022